Thermodynamics Calculator — Specific Heat Capacity (Q = mcΔT)Q = mcΔT · Heat Energy · Mass · Specific Heat · Temperature Change · Joules
Use this free Thermodynamics Calculator to instantly solve any unknown variable in the fundamental specific heat capacity equation: Q = m × c × ΔT — where Q is the heat energy transferred in Joules (J) or kJ, m is the mass of the substance in kilograms (kg) or grams (g), c is the specific heat capacity in J/kg·K or J/g·°C, and ΔT is the temperature change in °C or Kelvin (K). Enter any three known values to automatically solve the fourth — computing: heat energy (Q) in Joules or kJ · mass (m) in kg or grams · specific heat capacity (c) in J/kg·K · temperature change (ΔT) in °C or Kelvin — with automatic unit conversion across all standard heat and temperature units.
The Q = mcΔT specific heat formula is one of the most widely applied equations in thermodynamics, physics, and chemical engineering, used extensively across: A-Level, AP Physics, IB Physics, JEE, and NEET thermodynamics problems, calorimetry experiments and heat transfer lab calculations, HVAC and building thermal load analysis, materials science — comparing specific heat capacities of metals, water, air, and polymers, food science and industrial process heating calculations, and climate science — ocean and atmospheric heat capacity modeling. Well-known specific heat capacity values include: water (4,186 J/kg·K) — the highest of common substances, aluminium (897 J/kg·K), copper (385 J/kg·K), iron (449 J/kg·K), and air (1,005 J/kg·K) — making this specific heat calculator an essential reference tool for physics students, engineers, chemists, and materials scientists.
⚠ Physics Disclaimer: This thermodynamics calculator assumes ideal heat transfer conditions with no heat loss to surroundings and a homogeneous material with constant specific heat capacity across the temperature range. It does not account for latent heat during phase changes (melting, boiling, condensation), radiation, convection, or conduction heat losses, temperature-dependent specific heat variation, or non-uniform material composition. For precise industrial heat transfer calculations, calorimetry research, or thermodynamic system design, consult a licensed mechanical or chemical engineer following applicable ASHRAE, ASME, and ISO thermodynamics standards.
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Thermodynamics Calculator — Heat, Work, Entropy, and Gibbs Free Energy
Thermodynamics governs energy transformations in every physical and chemical process. The first law states that energy is conserved: ΔU = Q - W, where internal energy change equals heat added minus work done by the system. A gas heated by 500 J while doing 200 J of expansion work increases its internal energy by 300 J. The second law adds the entropy constraint: spontaneous processes increase total entropy. The thermodynamics calculator handles first-law energy balances for gas processes and reaction energy calculations with heat capacity and phase transition data.
Gibbs free energy ΔG = ΔH - TΔS determines reaction spontaneity at constant temperature and pressure. A negative ΔG means the reaction proceeds spontaneously; positive ΔG requires energy input. The combustion of methane has ΔH = -890 kJ/mol and ΔS = -242 J/(mol·K), giving ΔG = -890 - (298 × -0.242) = -818 kJ/mol at 25°C — strongly spontaneous. Photosynthesis has positive ΔG and requires sunlight to drive it. The calculator computes ΔG from ΔH and ΔS at any temperature, identifying the temperature above or below which a reaction becomes spontaneous.
Heat transfer rate in conduction, convection, and radiation obeys different equations but the calculator covers all three. Fourier's law for conduction: Q/t = kA(ΔT/L). Newton's law for convection: Q/t = hAΔT. Stefan-Boltzmann for radiation: Q/t = εσA(T₁⁴ - T₂⁴). Combining modes — as in a building wall with conduction through materials and convection at surfaces — requires thermal resistance networks analogous to electrical resistors. The thermal resistance approach lets the calculator handle composite assemblies by treating each layer's R-value as a series resistor.